Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2008-11-25
Physics
High Energy Physics
High Energy Physics - Theory
33 pages. Some typos were corrected. We added additional references and a new example (Subsection 6.4)
Scientific paper
A self-contained study of monopole configurations of pure Yang-Mills theories and a discussion of their charges is carried out in the language of principal bundles. A n-dimensional monopole over the sphere S^n is a particular type of principal connection on a principal bundle over a symmetric space K/H which is K-invariant, where K=SO(n+1) and H=SO(n). It is shown that principal bundles over symmetric spaces admit a unique K-invariant principal connection called canonical, which also satisfy Yang-Mills equations. The geometrical framework enables us to describe their associated field strengths in purely algebraic terms and compute the charge of relevant (Yang-type) monopoles avoiding the use of coordinates. Besides, two corrections on known results are performed in this paper. First, it is proven that the Yang monopole should be considered a connection invariant by Spin(5) instead of by SO(5), as Yang did in his original article J. Math. Phys. 19(1), pp. 320-328 (1978). Second, unlike the way suggested in Class. Quantum Grav. 23, pp. 4873-4885 (2006), we give the correct characteristic class to be used to calculate the charge of the monopoles studied by Gibbons and Townsend.
Diaz Pablo
Lázaro-Camí Joan-Andreu
No associations
LandOfFree
Monopoles in arbitrary dimension does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Monopoles in arbitrary dimension, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Monopoles in arbitrary dimension will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-273677